{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from __future__ import division\n",
    "import numpy as np\n",
    "from IPython.core.display import HTML\n",
    "from deltasigma import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Audio demo of mod1 and mod2 - demo #4\n",
    "=====================================\n",
    "\n",
    "Demonstration of the first and second order modulators, as in `dsdemo4.m` in the **MATLAB Delta Sigma Toolbox**, albeit this demo employs its Python port **`deltasigma`**.\n",
    "\n",
    "Port written by G. Venturini. First version Jan 1st, 2014. *Happy new year!!*\n",
    "\n",
    "##Introduction\n",
    "\n",
    " * The user selects:\n",
    "    * A modulator. It may be the simple `mod1` or `mod2`, or a user specified modulator.\n",
    "    * The source (sine, ramp or file).\n",
    "    * The $\\mathrm{sinc}^n$ filter order $n$ and decimation factor.\n",
    " * The output signal and quantization error are evaluated.\n",
    " * The signals are passed through the decimation filter.\n",
    "\n",
    "Input, output and quantization error are compared in terms of time evolution, spectra and played out aloud."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Options and utility functions\n",
    "You may skip to the following section"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "plotsize = (20, 4) #The plot size in inches. Reduce for low res/small screens"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# An in-browser HTML5 audio player\n",
    "# Notice there is an audio player in the dev branch of iPython,\n",
    "# it is unlikely that as of today Jan 1st, 2014 many people have access to it\n",
    "# for that reason, the following function is used instead.\n",
    "# It is originally from the notebook 'the sound of Hydrogen' by 'filmor', with small modifications.\n",
    "# http://nbviewer.ipython.org/url/gist.github.com/filmor/c7ae1a867fc9058ffcd4/raw/91ce69c1400540ed39f68bd92234abfb1dc2ae70/tone-generator.ipynb\n",
    "from io import BytesIO\n",
    "import base64, struct\n",
    "\n",
    "def wavPlayer(data, rate, scale=False, autoplay=False):\n",
    "    \"\"\"This method will display html 5 player for compatible browser with \n",
    "    embedded base64-encoded WAV audio data.\n",
    "\n",
    "    Parameters :\n",
    "    ------------\n",
    "    data : 1d np.ndarray containing the audio data to be played\n",
    "    rate : the data rate in Hz\n",
    "    scale : if set to True, the audio signal is amplified to cover the full scale.\n",
    "    \"\"\"\n",
    "    if np.max(abs(data)) > 1 or scale:\n",
    "        data = data/np.max(abs(data))\n",
    "    data = (2**13*data).astype(np.int16)\n",
    "    \n",
    "    buffer = BytesIO()\n",
    "    buffer.write(b'RIFF')\n",
    "    buffer.write(b'\\x00\\x00\\x00\\x00')\n",
    "    buffer.write(b'WAVE')\n",
    "    \n",
    "    buffer.write(b'fmt ')\n",
    "    if data.ndim == 1:\n",
    "        noc = 1\n",
    "    else:\n",
    "        noc = data.shape[1]\n",
    "    \n",
    "    bits = data.dtype.itemsize * 8\n",
    "    sbytes = rate*(bits // 8)*noc\n",
    "    ba = noc * (bits // 8)\n",
    "    buffer.write(struct.pack('<ihHIIHH', 16, 1, noc, rate, sbytes, ba, bits))\n",
    "\n",
    "    # data chunk\n",
    "    buffer.write(b'data')\n",
    "    buffer.write(struct.pack('<i', data.nbytes))\n",
    "\n",
    "    if data.dtype.byteorder == '>' or (data.dtype.byteorder == '=' and sys.byteorder == 'big'):\n",
    "        data = data.byteswap()\n",
    "\n",
    "    buffer.write(data.astype(np.int16).tostring())\n",
    "\n",
    "    # Determine file size and place it in correct position at start of the file.\n",
    "    size = buffer.tell()\n",
    "    buffer.seek(4)\n",
    "    buffer.write(struct.pack('<i', size-8))\n",
    "    \n",
    "    val = buffer.getvalue()\n",
    "    autoplay = \" autoplay=\\\"autoplay\\\"\"*autoplay + \"\"\n",
    "    \n",
    "    src = \"\"\"<audio controls=\"controls\" style=\"width:600px\"{autoplay}>\n",
    "      <source controls src=\"data:audio/wav;base64,{base64}\" type=\"audio/wav\" />\n",
    "      Your browser does not support the audio element.\n",
    "    </audio>\"\"\".format(base64=base64.b64encode(val).decode(\"ascii\"), autoplay=autoplay)\n",
    "    display(HTML(src))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Parameters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Source type\n",
    "Set the `SourceType` flag, which has the following meaning:\n",
    "\n",
    "* `0`: sine wave, see below for amplitude and frequency values.\n",
    "* `1`: ramp from -.7 to +.7.\n",
    "* `2`: audio file: a 9 seconds long recording of a tenor sax playing. Please make sure you download and save the file `sax.wav.b64` first, as explained below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "SourceType = 0 # change the SourceType"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you set `SourceType = 0` above, here you can specify the amplitude and frequency of the sine wave.\n",
    "\n",
    "Otherwise, the following values are ignored."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "SineAmp = .4\n",
    "SineFreq = .5e3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you set `SourceType = 1` (ramp), there is nothing you need to do.\n",
    "\n",
    "if you set `SourceType = 2` (file), make sure you download the file `sax.wav.b64` included with this notebook and save it to the current working directory."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Modulator order\n",
    "Select a modulator order equal to `1` to have the `mod1` structure, modulator order equal to 2 provides `mod2`.\n",
    "\n",
    "**Note:** two convenience functions `mod1()` and `mod2()` are available to quickly access NTF, STF and ABCD matrix for `mod1` and `mod2`.\n",
    "\n",
    "Modify the following code to employ your modulator of choice!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Delta sigma modulator ABCD matrix:\n",
      "[[ 1.  0.  1. -1.]\n",
      " [ 1.  1.  1. -2.]\n",
      " [ 0.  1.  0.  0.]]\n"
     ]
    }
   ],
   "source": [
    "mod_order = 2\n",
    "if not mod_order in (1, 2):\n",
    "    raise ValueError('Please choose an order equal to either 1 or 2')\n",
    "ABCD_mod1 = np.array([[1., 1., -1.], [1., 0., 0.]])\n",
    "ABCD_mod2 = np.array([[1., 0., 1., -1.], [1., 1., 1., -2.], [0., 1., 0., 0.]])\n",
    "ABCD = ABCD_mod1 if mod_order == 1 else ABCD_mod2\n",
    "print \"Delta sigma modulator ABCD matrix:\"\n",
    "print ABCD"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### $\\mathrm{sinc}^n$ decimation filter: parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "SincOrder = 2 # SincOrder\n",
    "DecFact = 32 # 32 DecFact"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Misc. options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "T = 2 # Input signal duration in seconds.\n",
    "FsOut = 8192 # set to ensure compatibility.\n",
    "Fs = FsOut*DecFact #Fs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulation\n",
    "###Setup the input signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generating a sine wave:\n",
      " * at freq. 500 Hz, \n",
      " * with norm. amplitude 0.4,\n",
      " * sampled at 262144 Hz,\n",
      " * total length 2 s (524288 #samples).\n"
     ]
    }
   ],
   "source": [
    "N = int(np.round(T*Fs))\n",
    "if SourceType == 0:\n",
    "    SineAmp = max(min(SineAmp, 1), 0) # 0 <= SineAmp <= 1\n",
    "    if SineFreq >= FsOut/2:\n",
    "        raise ValueError('Anything above FsOut/2 (%g) will be inaudible.' % FsOut/2)\n",
    "    print \"Generating a sine wave:\"\n",
    "    print \" * at freq. %g Hz, \" % SineFreq\n",
    "    print \" * with norm. amplitude %g,\" % SineAmp\n",
    "    print \" * sampled at %g Hz,\" % Fs\n",
    "    print \" * total length %g s (%d #samples).\" % (T, N)\n",
    "    u = SineAmp*np.sin(2*np.pi*SineFreq/Fs*np.arange(N))*ds_hann(N)\n",
    "    u0 = u[::DecFact]\n",
    "elif SourceType == 1:\n",
    "    u = np.linspace(-0.7, 0.7, N)\n",
    "    u0 = u[::DecFact]\n",
    "    print \"Generating a ramp:\"\n",
    "    print \" * from -.7 to +.7, \"\n",
    "    print \" * sampled at %g Hz,\" % Fs\n",
    "    print \" * total length %g s (%d #samples).\" % (T, N)\n",
    "elif SourceType == 2:\n",
    "    from scipy.interpolate import interp1d as interp\n",
    "    filename = 'sax.wav'\n",
    "    T = 9\n",
    "    try:\n",
    "        from scipy.io import wavfile  \n",
    "    except ImportError:\n",
    "        print \"Error: Reading audio files requires scipy > v 0.12.0\"\n",
    "    try:\n",
    "        fpin = open(filename + '.b64', 'r')\n",
    "        b64data = fpin.read()\n",
    "        fpin.close()\n",
    "        fpout = open(filename, 'wb')\n",
    "        fpout.write(base64.b64decode(b64data))\n",
    "        fpout.close()\n",
    "        sr, filedata = wavfile.read(filename)\n",
    "    except IOError:\n",
    "        print \"Wav file %s not found.\" % filename\n",
    "    if len(filedata.shape) == 2:\n",
    "        filedata = np.average(filedata, axis=1)\n",
    "    T = min(T, filedata.shape[0]/sr)\n",
    "    N = int(np.round(T*Fs))\n",
    "    filedata = filedata[:int(np.round(T*sr)+1)]\n",
    "    if max(abs(filedata)) > 1:\n",
    "        filedata = filedata/max(abs(filedata))\n",
    "    filets = np.arange(filedata.shape[0])/sr\n",
    "    ts = (np.arange(N)/Fs)\n",
    "    u0 = interp(filets, filedata)(ts[::DecFact])\n",
    "    u = interp(filets, filedata)(ts)\n",
    "    print \"Decoded the file %s.b64 and loaded its data.\" % filename\n",
    "    print \"Input data available:\"\n",
    "    print \" * sampled at %g Hz,\" % Fs\n",
    "    print \" * total length %g s (%d #samples).\" % (T, N)\n",
    "    print \" * normalized (only if amp > 1)\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inspect the input signal\n",
    "### Plot: time domain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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DMGYBvzRNc177+MdA9OObnbe/9gug8bM2Oi8oKLDy8/O7Ja9IT3p3ezk7yhtY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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104439cd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(np.arange(N)[::DecFact]/Fs, u0)\n",
    "figureMagic(size=(20,4))\n",
    "ylabel('$u(t)$');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot: frequency domain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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CafLMuZKktfuPknBqQbCWUUWtR33SMhI8mvibNKRnoofQaby36ZDufX2dPrrn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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x107ff85d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if SourceType == 0 or SourceType == 2:\n",
    "    N = max(u0.shape)\n",
    "    if SourceType == 0:\n",
    "        U = np.fft.fft(u0)/(N/4)\n",
    "    else:\n",
    "        U = np.fft.fft(u0 * ds_hann(N))/(N/4)\n",
    "    f = np.linspace(0, FsOut, N + 1)\n",
    "    f = f[:N/2 + 1]\n",
    "    semilogx(f, dbv(U[:N/2 + 1]))\n",
    "xlabel('f [Hz]')\n",
    "ylabel('U(f) [dB]')\n",
    "figureMagic(xRange=[1, max(f)], size=plotsize, name='Spectrum')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Play the input signal\n",
    "\n",
    "Click on the Play button to listen to the input signal.\n",
    "\n",
    "*Requires a HTML5-capable browser such as recent version of Chrome, Firefox or IE.*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<audio controls=\"controls\" style=\"width:600px\">\n",
       "      <source controls 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\" type=\"audio/wav\" />\n",
       "      Your browser does not support the audio element.\n",
       "    </audio>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show a Html 5 audio player\n",
    "wavPlayer(data=u0, rate=FsOut)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulate!\n",
    "The simulation is run calling `simulateDSM()`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "v, junk1, junk2, y = simulateDSM(u, ABCD)\n",
    "del junk1, junk2\n",
    "q = v - y # quantization error"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inspect the output"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot: time domain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ra3D1aK2lagrpSMN0uK21Hhy4tBBLFy9aasaLchgv6qvX0+tK1wNvAK6PMf67\nGOOPD9QmSZIk7bKrWDv6hLjKdDiK7dPhAk6HkyRJ9XonnVJKv59S+lJK6ZMppdcD9x6wXdKuc96y\nujJWJM3LQvqXynpL4zTS5HpLWz9HTC4tM38fKYfxohzGi/qaZXpdAm4BnAd8CLj7QG2q1nE6cC5w\nDPDKlNI5Nfu8BDgD+C7wpJTS3w/dDkmSpH2hnB63fRbc0fWWqoOZXG9JkiTNapbpdX8GPJ7RU+te\nCHx+iAaNxRiPAV4GnA6cCJwVY7z7xD4PBe6UUroz8GTgj4Zsg1ab85bVlbEiaV769i+1U+MqGaXq\n1DhHL+0f/j5SDuNFOYwX9dV7pBNwIXCXlNJvD9WYCacAl6aULgOIMZ4PPAK4pLLPw4HXAqSUPhRj\n/NEY4/EppSvn1CZJkqSlsvXkuIqmhb0lSZIWaZY1na5IKb13yMZMuDVweeX9FeVnbfvcZo5t0gpx\n3rK6MlYkzcu2/qWy9tLk6KXqyCUX9l5d/j5SDuNFOYwX9TXL9LotMcYbxBhPjzH+TIxxkDKBrv9v\nbnLFganHHT68OTqo/Hfa4cObW2tjVkeej19vbu7cPvkz3r65uVlbxnj74cOb2447fHhzR3uqZUzW\nMd6/bt/xudXVMf6/nE3nN9me6rlWz7/p/HLrm3Y9u9RXdz1z6xsfX61jsr4HPvDQ1PPLuX912zc3\nN2vLa/h7ovX8mu5f0/nl3L+6+M25f3Xx2+X8mr6fbfcv5/vZdn5d6qvGSlN9dfHSt76c/mDavZ4W\nv9X4bLrXbd/33bx/bedX933pcn5135cu51fXtsn717W+pvNv+/0xrT+oXo8+/WuX/qeu/V3qq7a/\n7++Ptv6nGi8517Pv76um+Bzv//2b/shW+ujQAx+4tdORqyFQsHn48NGpcUXBxw+/ecf96/P97HJ+\ndd/PafXl9K/V+nK+n3XXM7f/qbt+bfHbpf/pW19bfDad3/j3UdP17Ht+Xa5n13iZdv9y+vNp8Vtt\nb5f+Jyde6vrLyfra+p+282/7fdV0f3Prq4uXoetri5fc+tr6nz7xstfPL7c/r+tfu9Q3jpfc/mBa\nfV368y79a9/6+vZ3bf15l/rq7l+X8+vbv7bV1xSfOf1rk1C07dFBjPHOwNuBewEPTim9c4AyTwXO\nTimdXr5/NnB9dTHxGOP/B2ymlM4v338KeEDT9LqNjY1ifX0d2B48Y9XPpm2f1LeMtuMWUUdbGZPh\nMa921h2d2wYPAAAYSUlEQVSfU0bOOeWWMa1908qo09S2urKmHde1jGnH5dy/aW1rOj6njL0ek13q\nqyujzlDfgbb6dvO72nbcEO2c1/l1adteOW6IfiTnuKZ9Zmlb1Sz9T5NZfw90uWdHws6pcRw8uLXO\nUt/70Kdt08rrey36HN+33ra6u8RIl+2zXsNZvjvzOq5vO9vKrsr5k6NLf962b1vZQ9z3nDqGaGef\nNkzbf4h73VbfEDE5a5tmuQ9tx+3l81vGmGzaP+e4nPoW0R80HTdrGVXL0vdtbGywvr6+o4WzrOm0\nJaX0jxx9et3MCafShcCdY4y3B74IPBY4a2KftwNPBc4vk1Rfdz0nSZK0bLbWXdrxTzHXXpIkSfvX\nUFPhBpdSuo5RQukC4GLgjSmlS2KMT4kxPqXc5y+Bz8YYLwVeDvzKrjVYkqQONl0TYd+rfXIcbE2H\nq/649pIkSdrPskc6xRjvBNyX0YLdxwJHgEuBv0kpXTNk41JK7wLeNfHZyyfeP3XIOiVJkjpZW4Or\nR1PjtgYqBagbvXTclGm1kiRJ+1XnpFOM8QnAacBXgYuAzwDfA27GaGrdWTHGbwIvTyl9eg5tlSRp\nzzt06NBuN0GZtqbGwfbpcQcPbi1yUF3zwASTJEnSSGvSKcZ4Y+A3gXemlF7Xsu+NgDNjjHdLKb1t\noDZKkiTNT2XEUtV4oNKRcuQS5C/4KUmStMq6rOl0M+AFKaWPtO2YUrompXQe8NFZGyZJ0n7kmk67\nZ7zWUvVn2xCliZ/xXq67JEmS1E9r0iml9KVyUW8AYowHyv8+vvLZmTHGW1aOuXzohkqSJHU1bTHv\n6g9FAUdMKkmSJM1Dn6fXXRBjfC9wRozxvgAppfOBQ0M2TJKk/cg1nYZVm1xqeFqcI5YkSZIWKzvp\nlFJaBx7PaD2op8cYL4kxvhl4yNCNkyRJ2rK2BmFiehw7k0smmCRJkpZDn5FOpJS+ALwipfQ44ETg\nucCzh2yYJEn7kWs6tZs2eqm61pLrLUmSJC231qfXNUkpvbv8bwF8crAWSZKk1VB5atzWQ+ECUD4t\nzifFSZIk7W2tI51ijHeIMZ7VtcAY481jjL88W7MkSdqfVnZNp3JqXHV6HLDjSXFOjZMkSdo/Wkc6\npZQ+F2MMMcZzgCuA9wIXlyOcAIgx3gQ4BXgQ8DXgD+bUXkmStGwaRixtG7108CDjoUtbM+XMLUmS\nJO1rnabXpZQ+Czwzxngv4JHAf4kx3hg4BrgO+DLwPuD3Ukpfn1djJUna6zY3N/f0aKerWGONqxkP\nVALqE0rF9teSJElaPVlrOqWULgIumvw8xng6cJEJJ0mS9odqcsn1liRJktRH74XEY4zvAS4D3gMc\nBh4KvGaYZkmStD8t5SinyvS4o44ml6ojlo4LO46WJEmSarUuJD7FGcB5wF2BvwAODdAeSZI0pLoF\nvCdeA1sLeo9/XMxbkiRJs+o90imldC3w1+XP82OMjxmsVZIk7VPzXNNpa0rcNq63JEmSpN0xy/S6\nNwC3Bl7PKPF0x6EaJUmSmtUu5g2Mp8RV+YQ4SZIk7ZZZptf9OfA44MeAFwJfG6RFkiTtY11GOV3F\n2tb0t23T4MLR6XCBwilxkiRJWmq9RzoBHwHunlJ6wVCNkSRplWSNWKq8dTFvSZIk7QWzrOl0OXD5\ngG2RJGlfqV1jaVvC6OgT4qpMKkmSJGk/mGV6nSRJ4uh0uG1T4CrT4Ko/m4cPOx1OkiRJK8GkkyRJ\nLYZcY2leT66TJEmSlo1JJ0mSSjkjllzAW5IkSZrOpJMkaWXUJZW2jV5i/k+F29zcHKwsSZIkaZmt\nXtJp4o8M1tZ2u0WSpAFUp8DVJZWapsFV006OWJIkSZKGs3pJp4k/MoDaP0y2/ZFiYkqSdl11lNK0\ndZWakkrLMg3ONZ0kSZK0KlYv6TTpyJHaP0y2/eECO6ZgbJuOYVJKkmaWs1i36ypJkiRJy8+kUxdl\nYqop7QRMHy1lUkrSimtaoLtu6tt+X6zbNZ0kSZK0Kkw6DaFttBTUL1hb+cPrKkxMSdq7uk59m1yg\ne9mmvkmSJEkajkmnRahJSu344wt2/MFmgkrSrlpb69QnOfUtj2s6SZIkaVWYdFoSx3Fkxx9sOQkq\nk1KS2nR5utvkdLdOfZJJJUmSJEk1TDrtQXUJqrqkVNc/LE1SSXtX67S26ue0P91t2/YjJpLmwTWd\nJEmStCpMOu1D46RU5z8sYWqCqulzk1XSnJTT2qaOQuo4ra36uaORJEmSJC2SSSdtGzlVl6Bq/Jyj\nI6qypuz4ND+tiLYntjWulQTtyWKnte1ZrukkSZKkVWHSSb1VR1TljqzqujixI6u0FFpGHjXGMNOf\n2Na4VpLT2iRJkiTtAyadtHjl0/y6LE6cMw2wbRrStsSAo632pepC2Vmj76aMQOoy8qgphh2FpDqu\n6SRJkqRVcWC3GyB1Nf4DfjxYCrbnA5peT+4LULC29cHWLqHhdVWo+7DDcQ11cPDg/hvVsrYGV18N\nTJxrqem6Nt2HHcdN3IPtnx8cJX6q2zvEy+T2puMlSZIkSd2ZdNJqqiR62hJXVU0JiLbjqsdvS3as\nre04oG9SpraMKce1JdU6J4wmjz94cOtC5SR2uiaEJu9B9fPjplx7aVm4ppMkSZJWhUknaTfVjHLq\nm5SpK2PacW1Jta4Jo6bjJUmSJEmrzTWdJElaINd0kiRJ0qow6SRJkiRJkqTBmXSSJGmBXNNJkiRJ\nq8KkkyRJkiRJkga3lAuJxxjXgDcCtwMuA2JK6es1+10GfBP4AXBtSumUBTZTkqRsm5ubjnaSJEnS\nSljWkU7PAt6dUroLsFG+r1MAh1JKJ5twkiRJkiRJWh7LmnR6OPDa8vVrgUdO2bflIe6SJC0PRzlJ\nkiRpVSxr0un4lNKV5esrgeMb9iuA98QYL4wx/vJimiZJkiRJkqQ2u5Z0ijG+O8b4iZqfh1f3SykV\njJJLdX4mpXQycAbwqzHGf9VW7+bm5tT3bfvPsm9d3Tntmdx/1vImt7cd3+VazHo9c+qbtT1t17Ot\nvKGvd115Q7ZniOuV257JbbOcX922IeOly/ZZ6ss9/9zve259XeIl9/i6fboeP/T9W7bzq9uW+/2f\npb2zxlNbe4a43m115VyfWb8Ps17PaW1rKj/3era1Z9HfzyHv7xD3a5bj+7RnyPKHvr9DnN884yX3\n/NvqWMT5Ddn+PvdnyP1n3T6P+zPL/Ru6Pfv9/PZCfTn75x4/6/ZZ2zPeJ6e8trJmjb9p9fU5P4BQ\nFE35nN0TY/wUo7WavhxjvCVwOKV0t5Zjngd8O6X04qZ9NjY2ivX1dQBCOSmvevrVz6Ztn9S3jLbj\nFlFHWxmT4TGvdtYdn1NGzjnlljGtfdPKqNPUtrqyph3XtYxpx+Xcv2ltazo+p4y9HpNd6qsro85Q\n34G2+nbzu9p23BDtnNf5dWlb23GHDx9dSHyIe9b3uCH6kZzjmvaZpW1Vs/Q/TWb9PZD7Hcgpt+24\nPm3r0o6qLm3uc3zfetvqnuXad62jT3l124e8v12O69vOtrKrcv7k6NKft+3bVvYQ9z2njiHa2acN\n0/Yf4l631TdETM7aplnuQ9txe/n8ljEmm/bPOS6nvkX0B03HzVpG1bL0fRsbG6yvr+9o4bJOr3s7\n8MTy9ROBt07uEGO8cYzxpuXrHwYeAnxiYS2UJKkH13SSJEnSqljWpNN/Ax4cY/wM8KDyPTHGW8UY\n31nucwvgAzHGjwEfAv5nSumvdqW1kiRJkiRJ2ubAbjegTkrpCHBazedfBB5Wvv4scO8FN02SpJls\nbm462kmSJEkrYVlHOkmSJEmSJGkPM+kkSdICOcpJkiRJq8KkkyRJkiRJkgZn0kmSpAXa3Nzc7SZI\nkiRJC2HSSZIkSZIkSYMz6SRJ0gK5ppMkSZJWhUknSZIkSZIkDc6kkyRJC+SaTpIkSVoVJp0kSZIk\nSZI0OJNOkiQtkGs6SZIkaVWYdJIkSZIkSdLgTDpJkrRArukkSZKkVWHSSZIkSZIkSYMz6SRJ0gK5\nppMkSZJWhUknSZIkSZIkDc6kkyRJC+SaTpIkSVoVJp0kSZIkSZI0OJNOkiQtkGs6SZIkaVWYdJIk\nSZIkSdLgTDpJkrRArukkSZKkVWHSSZIkSZIkSYMz6SRJ0gK5ppMkSZJWhUknSZIkSZIkDc6kkyRJ\nC+SaTpIkSVoVJp0kSZIkSZI0OJNOkiQtkGs6SZIkaVWYdJIkSZIkSdLgTDpJkrRArukkSZKkVWHS\nSZIkSZIkSYMz6SRJ0gK5ppMkSZJWhUknSZIkSZIkDc6kkyRJC+SaTpIkSVoVJp0kSZIkSZI0OJNO\nkiQtkGs6SZIkaVWYdJIkSZIkSdLgTDpJkrRArukkSZKkVWHSSZIkSZIkSYMz6SRJ0gK5ppMkSZJW\nhUknSZIkSZIkDc6kkyRJC+SaTpIkSVoVJp0kSZIkSZI0uAO73YA6McbHAGcDdwN+KqX00Yb9TgfO\nBY4BXplSOmdhjZQkqQfXdJIkSdKqWNaRTp8AHgW8v2mHGOMxwMuA04ETgbNijHdfTPMkSZIkSZI0\nzVImnVJKn0opfaZlt1OAS1NKl6WUrgXOBx4x/9ZJktSfazpJkiRpVSxl0qmjWwOXV95fUX4mSZIk\nSZKkXbZrazrFGN8N3KJm03NSSu/oUEQxcJMkSZo713SSJEnSqti1pFNK6cEzFvEF4ITK+xMYjXaa\nanNzk0OHDlEUo9ebm0f/ADh8eLPca/r28fujUySOvj98uL68uu3j4yfbUxQ7t1ffV7fXlVfd3uX8\n6uqrO/+m86tun/V6dqmvy/XOuX9N17NL++qu17T7l3t/q9vbzq9Le/rev7rjm86v6f7Nen517Zks\nr66+Wb+fQ9VXd3+q59+3vrbtbfV1id+242F579/Q55fzfZk8v7ry274P86yv7fuc07/mXO+m9rfd\n35zrk9v/5N6fnOs1rT2T16tvfz7U97Pr+dV9P5vq63N87vez7XrO6/uZ8/sxt74h7+8Q55ezfZb7\n3Xb+feN3iPPr2x/UHd/3/vS9v136lz7bu9TXJV5y6pu1vNx42c/nV+1fZ60vtz+fR//fp75F9AdN\n5eV8v9r6lyHir8vf/23taxKKYnkHDMUYDwPPSCn9Xc22A8CngXXgi8CHgbNSSpc0lbexsVGsr6/P\nq7naZzY3N1u/QBIYK8pjvCiH8aIcxotyGC/KYbyozcbGBuvr62Hy8xvsRmPaxBgfFWO8HDgVeGeM\n8V3l57eKMb4TIKV0HfBU4ALgYuCN0xJOkiRJkiRJWpylHuk0NEc6SZIkSZIkDWtPjXSSJEmSJEnS\n3mbSSWpwdGE2aTpjRTmMF+UwXpTDeFEO40U5jBf1ZdJJkiRJkiRJg3NNJ0mSJEmSJPXmmk6SJEmS\nJElaGJNOUgPnLasrY0U5jBflMF6Uw3hRDuNFOYwX9bVy0+t2uw2SJEmSJEn7Td30upVKOkmSJEmS\nJGkxnF4nSZIkSZKkwZl0kiRJkiRJ0uBMOkmSJEmSJGlwJp0kSZIkSZI0uAO73YBFiDGeDpwLHAO8\nMqV0zi43SUsmxngZ8E3gB8C1KaVTYoxrwBuB2wGXATGl9PVda6R2TYzx1cDDgK+klE4qP2uMjxjj\ns4FfYhRPT0sp/dVutFu7oyFezgb+A/DVcrfnpJTeVW4zXlZUjPEE4HXAjwEF8McppZfYv6jOlHg5\nG/sXTYgx3gh4H/BDwLHA21JKz7Z/UZ0p8XI29i+a0b4f6RRjPAZ4GXA6cCJwVozx7rvbKi2hAjiU\nUjo5pXRK+dmzgHenlO4CbJTvtZpew6gPqaqNjxjjicBjGfU3pwN/GGPc932ttqmLlwL4/bKPObny\nDzbjZbVdC/zfKaWfAE4FfrX8N4r9i+o0xYv9i3ZIKV0DPDCldG/gnsADY4z3x/5FNabEi/2LZrYK\ngXEKcGlK6bKU0rXA+cAjdrlNWk5h4v3DgdeWr18LPHKxzdGySCl9ALh64uOm+HgE8IaU0rUppcuA\nSxn1Q1oRDfECO/sYMF5WWkrpyymlj5Wvvw1cAtwa+xfVmBIvYP+iGiml75Yvj2U04+Nq7F/UoCFe\nwP5FM1qFpNOtgcsr76/g6C9oaawA3hNjvDDG+MvlZ8enlK4sX18JHL87TdOSaoqPWzHqZ8bsczT2\nn2KMF8UYXxVj/NHyM+NFAMQYbw+cDHwI+xe1qMTL35Yf2b9ohxjjDWKMH2PUjxxOKX0S+xc1aIgX\nsH/RjFYh6VTsdgO0J/xMSulk4AxGw9X/VXVjSqnAWFKDDvFh7OiPgDsA9wa+BLx4yr7Gy4qJMd4E\neBPwaymlb1W32b9oUhkvf8EoXr6N/YsapJSuL6dL3Qb42RjjAye2279oS028HML+RQNYhaTTF4AT\nKu9PYHtWViKl9KXyv18F3sJoeOiVMcZbAMQYbwl8ZfdaqCXUFB+Tfc5tys+0wlJKX0kpFeU/8F/J\n0SHoxsuKizHekFHC6U9SSm8tP7Z/Ua1KvLx+HC/2L2qTUvoG8E7gvti/qEUlXn7S/kVDWIWk04XA\nnWOMt48xHstowbO373KbtERijDeOMd60fP3DwEOATzCKkyeWuz0ReGt9CVpRTfHxduDMGOOxMcY7\nAHcGPrwL7dMSKf9hP/YoRn0MGC8rLcYYgFcBF6eUzq1ssn/RDk3xYv+iOjHGm4+nQsUY/wXwYODv\nsX9RjaZ4GScoS/Yv6iUUxf4fBRdjPAM4l9GCaK9KKf3XXW6SlkjZUb6lfHsA+NOU0n8tHymbgNsy\n8UhZrZYY4xuABwA3ZzTP/beBt9EQHzHG5zB6hOx1jKY/XLALzdYuqYmX5wGHGA1NL4DPAU8Zr6lh\nvKyu8slA7wc+ztFpCc9m9A93+xdt0xAvzwHOwv5FE2KMJzFaKPwG5c+fpJReNO3ft8bL6poSL6/D\n/kUzWomkkyRJkiRJkhZrFabXSZIkSZIkacFMOkmSJEmSJGlwJp0kSZIkSZI0OJNOkiRJkiRJGpxJ\nJ0mSJEmSJA3OpJMkSZIkSZIGZ9JJkiRpD4kxnh1j/JPdbockSVKbA7vdAEmSpL0gxnh/4IXAicAP\ngEuAX08pXbjgphRDFBJj/DDwOOB64M9TSvcdolxJkqQxRzpJkiS1iDH+CPA/gT8ADgK3Bp4P/PMu\nNCfMWkCM8YbAbVNKlwL3Bf5u5lZJkiRNcKSTJElSu7sARUrpjeX7a4B3jzfGGO8IvAK4J6ORSBcA\nv5pS+ka5/TLgZcATgDsACXgOcB5wP+DDwGNSSl+PMd4e+CzwFOBsRkmmF6eUXlzXsBjjqcDvA3cH\n/jfwayml97Wczz2Ai8vXPwn8ffslkCRJyuNIJ0mSpHafBn4QYzwvxnh6jPFgzT7/Bbglo+TPCYwS\nRmMF8GhgHbgr8PPAu4BnAT/G6N9kT5so7xBwJ+AhwDNjjOuTFcYYb81oBNbvpJQOAs8A3hRjvHnd\nScQYnxRjvBr4a+DU8vV/Bs6JMR6JMd6u7UJIkiR15UgnSZKkFimlb5VrOj2T0YimW8QY/xL45ZTS\nV1JK/wT8U7n712KM/x347YliXppS+ipAjPEDwJUppYvK929hlJCqen5K6XvAP8QYXwOcBWxM7PPv\ngL9MKf3/ZTvfE2O8EHgo8Lqa8zgPOC/G+H7gPwFXA29LKZ2ceUkkSZJamXSSJEnqIKX0KeAXAWKM\ndwVeD5wLPC7GeDyj9Z7uD9yU0cilIxNFXFl5/b2J99cAN5nY//LK688DJ9U063bAY2KMv1D57ADw\n3skdY4xrjKbtUda1CfxQue1q4OyU0h/U1CFJktSLSSdJkqRMKaVPxxhfCzy5/Oh3GT3R7h7lukyP\nBF7aUkzbguC3ZTStb/z6CzX7fB74k5TSk2u2Tbb5CPCjMcbHAodSSv8xxvhm4GUppR1JKkmSpFmZ\ndJIkSWpRjmx6GPDGlNIXYownMJru9sFyl5sA3wC+Wa6z9BsDVPtbMcYnAz8OPAn4tzX7vB74SIzx\nIYym3t0QOBX4x5RSXZIKRguHf7R8fTI+uU6SJM2JC4lLkiS1+xbw08CHYozfZpRs+jjw9HL784H7\nMEo8vQN4E6PFw6cpJl5P7v8+4FLgPcCLUkrvmdw3pXQF8AhGT8L7CqORT09n+r/x7gN8NMZ4HHDd\n+Al7kiRJQwtF0fbvIUmSJC1KjPH2jNZeOpBSun6XmyNJktSbI50kSZIkSZI0OJNOkiRJy8eh6JIk\nac9zep0kSZIkSZIG50gnSZIkSZIkDc6kkyRJkiRJkgZn0kmSJEmSJEmDM+kkSZIkSZKkwZl0kiRJ\nkiRJ0uBMOkmSJEmSJGlw/wdEQrk5kvAQOAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e12e9d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = max(v.shape)\n",
    "nPlot = 400\n",
    "if N > nPlot:\n",
    "    n = np.arange(int(np.floor(N/2 - nPlot/2)), int(np.floor(N/2 + nPlot/2)))\n",
    "else:\n",
    "    n = np.arange(N)\n",
    "n = n.astype(np.int32)\n",
    "hold(True)\n",
    "t = np.arange(max(n.shape))\n",
    "step(t, u[n], 'r')\n",
    "bar(t, v[n], color='b', linewidth=0)\n",
    "ylabel('$u(t), v(t)$')\n",
    "xlabel('Sample #')\n",
    "axis([0, max(n)-min(n), -1.1, 1.1])\n",
    "figureMagic(size=(20, 4), name='Modulator Input & Output')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot: frequency domain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QnMRTOi6DE1LLIbMEMk8EBkuxDS2nQS6lVyWdyPALldLczbtTwRE660+cIj8a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\nuJDhw4eHHL9lyxZuv/12rFYrM2fO5M9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BQCAQCI6F0A51h2M9JFm6ltQlW4ys9wlOznLh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ZzGn3YOjcOqGD2sqs8gqKMrxZPbD7B88z5WbMk8tuxLcurYYcyfUM+8pnrmT6hnyqja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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f2c4f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = max(v.shape)\n",
    "Nfft = min(N, 16*8192)\n",
    "n = np.arange((N - Nfft)/2, (N + Nfft)/2).astype(np.int32)\n",
    "V = np.fft.fft(v[n] * ds_hann(Nfft)) / (Nfft / 4)\n",
    "if SourceType == 1:\n",
    "    inBin = np.round(SineFreq/Fs*Nfft)\n",
    "else:\n",
    "    inBin = np.ceil(Nfft/1000)\n",
    "hold(True)\n",
    "ylabel('V(f) [dB]')\n",
    "xlabel('Frequency [Hz]')\n",
    "semilogx(np.arange(max(V.shape))/max(V.shape)*Fs, dbv(V))\n",
    "f, Vp = logsmooth(V, inBin)\n",
    "semilogx(f*Fs, Vp, 'm', linewidth=2.5)\n",
    "xlim([f[0]*Fs, Fs/2])\n",
    "msg = 'NBW = %.1f Hz ' % (Fs*1.5/Nfft)\n",
    "text(Fs/2, -90, msg, horizontalalignment='right', verticalalignment='center')\n",
    "figureMagic(size=plotsize, name='Spectrum')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Decimate; Comparison of output signal and input signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XAjOttbMcxzkP+DFw/qmM43TV1hslO+Al4br0ROK4LiT61Tvb0dRNJJ4g6POQ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\nq6u/RHRl8HRtEUJMA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      "text/plain": [
       "<matplotlib.figure.Figure at 0x111930dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w = sinc_decimate(v, SincOrder, DecFact)\n",
    "filtered_q = sinc_decimate(q, SincOrder, DecFact)\n",
    "N = max(w.shape)\n",
    "t = np.arange(N)/FsOut\n",
    "subplot(211)\n",
    "plot(t, w)\n",
    "ylabel('$w$')\n",
    "figureMagic(size=(20, 4))\n",
    "subplot(212)\n",
    "plot(t, u0 - w, 'g')\n",
    "ylabel('$u-w$')\n",
    "xlabel('t [s]')\n",
    "figureMagic(size=(20, 4))\n",
    "suptitle('Output and conversion error');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Play the output signal\n",
    "\n",
    "Click on the Play button to listen to the output signal `w`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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type=\"audio/wav\" />\n",
       "      Your browser does not support the audio element.\n",
       "    </audio>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wavPlayer(data=w, rate=FsOut)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Play the quantization error (filtered)\n",
    "\n",
    "Click on the Play button to listen to the quantization error `filtered_q`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<audio controls=\"controls\" style=\"width:600px\">\n",
       "      <source controls 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\" type=\"audio/wav\" />\n",
       "      Your browser does not support the audio element.\n",
       "    </audio>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wavPlayer(data=filtered_q, rate=FsOut, scale=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###Play the difference in the signal before and after A/D conversion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<audio controls=\"controls\" style=\"width:600px\">\n",
       "      <source controls 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\" type=\"audio/wav\" />\n",
       "      Your browser does not support the audio element.\n",
       "    </audio>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wavPlayer(data=u0-w, rate=FsOut, scale=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Final comparison of the spectra of the three signals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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yWSMqMjL5scNgLl0znfhOZwWOUbkdzWrBFGajaM1mfuo9DIe/GKdejjUuhpaX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\nIiIiIiLyq/8P/hdZNcp1KgYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1118d9250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = max(filtered_q.shape)\n",
    "Nfft = min(N, 16*8192)\n",
    "n = np.arange((N - Nfft)/2, (N + Nfft)/2).astype(np.int32)\n",
    "E = np.fft.fft(filtered_q[n] * ds_hann(Nfft)) / (Nfft / 4)\n",
    "W = np.fft.fft(w[n] * ds_hann(Nfft)) / (Nfft / 4)\n",
    "U0 = np.fft.fft(u0[n] * ds_hann(Nfft)) / (Nfft / 4)\n",
    "if SourceType == 0:\n",
    "    inBin = np.round(SineFreq*Nfft)/FsOut\n",
    "else:\n",
    "    inBin = np.ceil(Nfft/1000)\n",
    "hold(True)\n",
    "ylabel('dB')\n",
    "semilogx(np.arange(Nfft)/Nfft*FsOut, dbv(U0), label='Input signal')\n",
    "semilogx(np.arange(Nfft)/Nfft*FsOut, dbv(W), label='Output signal')\n",
    "semilogx(np.arange(Nfft)/Nfft*FsOut, dbv(E), label='Filtered quant. error')\n",
    "f, U0p = logsmooth(U0, inBin)\n",
    "semilogx(f*FsOut, U0p, '#1E90FF', linewidth=2.5)\n",
    "f, Wp = logsmooth(W, inBin)\n",
    "semilogx(f*FsOut, Wp, '#556B2F', linewidth=2.5)\n",
    "f, Ep = logsmooth(E, inBin)\n",
    "semilogx(f*FsOut, Ep, '#8B0000', linewidth=2.5)\n",
    "xlim([10, FsOut/2])\n",
    "msg = 'NBW = %.1f Hz ' % (Fs*1.5/Nfft)\n",
    "text(FsOut/2, -6, msg, horizontalalignment='right', verticalalignment='top')\n",
    "figureMagic(size=plotsize, name='Spectrum')\n",
    "legend(loc=3);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusions\n",
    "\n",
    "We briefly demonstrated the use of two modulators to perform A/D conversion of audio signals. \n",
    "\n",
    "Feel free to go through this notebook, change the parameters and resimulate!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### System version information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "application/json": {
       "Software versions": [
        {
         "module": "Python",
         "version": "2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]"
        },
        {
         "module": "IPython",
         "version": "3.2.1"
        },
        {
         "module": "OS",
         "version": "Darwin 14.4.0 x86_64 i386 64bit"
        },
        {
         "module": "numpy",
         "version": "1.9.2"
        },
        {
         "module": "scipy",
         "version": "0.16.0"
        },
        {
         "module": "matplotlib",
         "version": "1.4.3"
        },
        {
         "module": "deltasigma",
         "version": "0.2.2"
        }
       ]
      },
      "text/html": [
       "<table><tr><th>Software</th><th>Version</th></tr><tr><td>Python</td><td>2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]</td></tr><tr><td>IPython</td><td>3.2.1</td></tr><tr><td>OS</td><td>Darwin 14.4.0 x86_64 i386 64bit</td></tr><tr><td>numpy</td><td>1.9.2</td></tr><tr><td>scipy</td><td>0.16.0</td></tr><tr><td>matplotlib</td><td>1.4.3</td></tr><tr><td>deltasigma</td><td>0.2.2</td></tr><tr><td colspan='2'>Fri Aug 07 16:21:14 2015 CEST</td></tr></table>"
      ],
      "text/latex": [
       "\\begin{tabular}{|l|l|}\\hline\n",
       "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n",
       "Python & 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)] \\\\ \\hline\n",
       "IPython & 3.2.1 \\\\ \\hline\n",
       "OS & Darwin 14.4.0 x86\\_64 i386 64bit \\\\ \\hline\n",
       "numpy & 1.9.2 \\\\ \\hline\n",
       "scipy & 0.16.0 \\\\ \\hline\n",
       "matplotlib & 1.4.3 \\\\ \\hline\n",
       "deltasigma & 0.2.2 \\\\ \\hline\n",
       "\\hline \\multicolumn{2}{|l|}{Fri Aug 07 16:21:14 2015 CEST} \\\\ \\hline\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "Software versions\n",
       "Python 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]\n",
       "IPython 3.2.1\n",
       "OS Darwin 14.4.0 x86_64 i386 64bit\n",
       "numpy 1.9.2\n",
       "scipy 0.16.0\n",
       "matplotlib 1.4.3\n",
       "deltasigma 0.2.2\n",
       "Fri Aug 07 16:21:14 2015 CEST"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py\n",
    "%load_ext version_information\n",
    "%reload_ext version_information\n",
    "\n",
    "%version_information numpy, scipy, matplotlib, deltasigma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  }
 ],
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